Pith Number

pith:VUQEKWHY

pith:2026:VUQEKWHYDRNP57EHWZRQCZM3NN

not attested not anchored not stored refs pending

Implementation of multi-grid Poisson solver in numerical relativity and its application to gravitational collapse of massive star

Hirotada Okawa, Kenta Kiuchi

arxiv:2606.12542 v1 · 2026-06-10 · astro-ph.HE · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUQEKWHYDRNP57EHWZRQCZM3NN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-12T00:07:54.098593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad204558f81c5afefc87b66301659b6b47f9f15d9e760a0fbeb6d65cedf8e351

Aliases

arxiv: 2606.12542 · arxiv_version: 2606.12542v1 · doi: 10.48550/arxiv.2606.12542 · pith_short_12: VUQEKWHYDRNP · pith_short_16: VUQEKWHYDRNP57EH · pith_short_8: VUQEKWHY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VUQEKWHYDRNP57EHWZRQCZM3NN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ad204558f81c5afefc87b66301659b6b47f9f15d9e760a0fbeb6d65cedf8e351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1298cdceed4297e5156c781d4878a3cf115b55a9a1691534cee1dc8b1284a9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2026-06-10T18:00:10Z",
    "title_canon_sha256": "fe9412de0257bc2c168313b9ebd6d1542917abf8436461f440f074bd71772519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12542",
    "kind": "arxiv",
    "version": 1
  }
}